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Entropy Bounds and Isoperimetry
Available Formats:
Electronic ISBN: 9781470404307
Product Code: MEMO/176/829.E
List Price: $62.00
MAA Member Price: $55.80
AMS Member Price: $37.20
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Entropy Bounds and Isoperimetry
Available Formats:
Electronic ISBN:  9781470404307 
Product Code:  MEMO/176/829.E 
List Price:  $62.00 
MAA Member Price:  $55.80 
AMS Member Price:  $37.20 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 176; 2005; 69 ppMSC: Primary 46; Secondary 51; 52;

Table of Contents

Chapters

1. Introduction and notations

2. Poincarétype inequalities

3. Entropy and Orlicz spaces

4. $\mathrm {LS}_q$ and Hardytype inequalities on the line

5. Probability measures satisfying $\mathrm {LS}_q$inequalities on the real line

6. Exponential integrability and perturbation of measures

7. $\mathrm {LS}_q$inequalities for Gibbs measures with super Gaussian tails

8. $\mathrm {LS}_q$inequalities and Markov semigroups

9. Isoperimetry

10. The localization argument

11. Infinitesimal version

12. Proof of Theorem 9.2

13. Euclidean distance (proof of Theorem 9.1)

14. Uniformly convex bodies

15. From isoperimetry to $\mathrm {LS}_q$inequalities

16. Isoperimetric functional inequalities


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 Table of Contents

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Volume: 176; 2005; 69 pp
MSC: Primary 46; Secondary 51; 52;

Chapters

1. Introduction and notations

2. Poincarétype inequalities

3. Entropy and Orlicz spaces

4. $\mathrm {LS}_q$ and Hardytype inequalities on the line

5. Probability measures satisfying $\mathrm {LS}_q$inequalities on the real line

6. Exponential integrability and perturbation of measures

7. $\mathrm {LS}_q$inequalities for Gibbs measures with super Gaussian tails

8. $\mathrm {LS}_q$inequalities and Markov semigroups

9. Isoperimetry

10. The localization argument

11. Infinitesimal version

12. Proof of Theorem 9.2

13. Euclidean distance (proof of Theorem 9.1)

14. Uniformly convex bodies

15. From isoperimetry to $\mathrm {LS}_q$inequalities

16. Isoperimetric functional inequalities
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